Verified answer

Let's simplify the expression step by step:

1. First, simplify within the square brackets:

{[√x * 3 * 3 * √x * 5] ÷ [5 * √x * 3]}

2. Combine like terms in the numerator:

{3 * 3 * √x * √x * 5} = 45x

3. Combine like terms in the denominator:

{5 * 3 * √x} = 15√x

So, the expression now becomes:

(45x ÷ 15√x) × (30√x * 77)

4. Divide 45x by 15√x:

(45x ÷ 15√x) = 3

Now the expression becomes:

3 × (30√x * 77)

5. Multiply 3 by 30√x:

3 * 30√x = 90√x

Now the expression becomes:

90√x * 77

6. Multiply 90√x by 77:

90√x * 77 = 6930√x

So, the simplified expression is:

6930√x